Hi All,

I have a set of noise data , x= [1 2 3 4 5 6 ].

I want to add additive white Gaussian noise to it using

g= x+ 0.5* rand(1,6)

How do i calculate the signal to noise ratio of this signal if the variance of
the rand is 0.5.

I know the relationship between SNR and variance, mathematicallly and can
implement that in MATLAB. Is there any function that can calculate that easily
?

The second scenario is that i have a signal

d= [ 5 6 7 8 9], no other information than the signal contains noise. How do i
get the SNR of this signal.

Thanks,

# SIGNAL TO NOISE RATIO

Started by ●February 2, 2009

Posted by ●February 2, 2009

Be careful. rand() is not a Gaussian, but uniformly distributed. You should

use randn().

SNR(g) = sum(x.*x) / var(g-x);

SNR(d) it is impossible to know it if you dont know anything about the

signal.

2009/1/30 Arma Ann

> Hi All,

>

> I have a set of noise data , x= [1 2 3 4 5 6 ].

>

> I want to add additive white Gaussian noise to it using

>

> g= x+ 0.5* rand(1,6)

>

> How do i calculate the signal to noise ratio of this signal if the variance

> of the rand is 0.5.

>

> I know the relationship between SNR and variance, mathematicallly and can

> implement that in MATLAB. Is there any function that can calculate that

> easily ?

>

> The second scenario is that i have a signal

>

> d= [ 5 6 7 8 9], no other information than the signal contains noise. How

> do i get the SNR of this signal.

>

> Thanks,

>

>

>

use randn().

SNR(g) = sum(x.*x) / var(g-x);

SNR(d) it is impossible to know it if you dont know anything about the

signal.

2009/1/30 Arma Ann

> Hi All,

>

> I have a set of noise data , x= [1 2 3 4 5 6 ].

>

> I want to add additive white Gaussian noise to it using

>

> g= x+ 0.5* rand(1,6)

>

> How do i calculate the signal to noise ratio of this signal if the variance

> of the rand is 0.5.

>

> I know the relationship between SNR and variance, mathematicallly and can

> implement that in MATLAB. Is there any function that can calculate that

> easily ?

>

> The second scenario is that i have a signal

>

> d= [ 5 6 7 8 9], no other information than the signal contains noise. How

> do i get the SNR of this signal.

>

> Thanks,

>

>

>

Posted by ●February 3, 2009

Hi,

You could try a diffrent approach. Why don't you add the gaussian noise with awgn() function. In this case you will specify the exact SNR you need.

On the other hand, SNR is very difficult to be calculated out of a noisy signal alone. But if you know the noisy signal, and in your case the initial signal you can obtain the noise. Then you calculate the power of the noisy signal, the power of the noise, divide them and then calculate the logaritm.

Paul

Hi All,

>

>I have a set of noise data , x= [1 2 3 4 5 6 ].

>

>I want to add additive white Gaussian noise to it using

>

>g= x+ 0.5* rand(1,6)

>

>How do i calculate the signal to noise ratio of this signal if the variance of the rand is 0.5.

>

>I know the relationship between SNR and variance, mathematicallly and can implement that in MATLAB. Is there any function that can calculate that easily ?

>

>The second scenario is that i have a signal

>

>d= [ 5 6 7 8 9], no other information than the signal contains noise. How do i get the SNR of this signal.

>

>Thanks,

You could try a diffrent approach. Why don't you add the gaussian noise with awgn() function. In this case you will specify the exact SNR you need.

On the other hand, SNR is very difficult to be calculated out of a noisy signal alone. But if you know the noisy signal, and in your case the initial signal you can obtain the noise. Then you calculate the power of the noisy signal, the power of the noise, divide them and then calculate the logaritm.

Paul

Hi All,

>

>I have a set of noise data , x= [1 2 3 4 5 6 ].

>

>I want to add additive white Gaussian noise to it using

>

>g= x+ 0.5* rand(1,6)

>

>How do i calculate the signal to noise ratio of this signal if the variance of the rand is 0.5.

>

>I know the relationship between SNR and variance, mathematicallly and can implement that in MATLAB. Is there any function that can calculate that easily ?

>

>The second scenario is that i have a signal

>

>d= [ 5 6 7 8 9], no other information than the signal contains noise. How do i get the SNR of this signal.

>

>Thanks,

Posted by ●February 3, 2009

you could use wavelets to analyse ur components and see which coefficients are
more likely to belong to noise and which ones are more likely to be from a
signal. Any signal must have a source and if you know approximately what your
source is..you might be able to separate them.

Gluck

Shailen

To: m...From: a...@yahoo.comDate: Thu, 29 Jan 2009 16:55:56 -0800Subject: [matlab] SIGNAL TO NOISE RATIO

Hi All,I have a set of noise data , x= [1 2 3 4 5 6 ].I want to add additive white Gaussian noise to it using g= x+ 0.5* rand(1,6)How do i calculate the signal to noise ratio of this signal if the variance of the rand is 0.5. I know the relationship between SNR and variance, mathematicallly and can implement that in MATLAB. Is there any function that can calculate that easily ?The second scenario is that i have a signal d= [ 5 6 7 8 9], no other information than the signal contains noise. How do i get the SNR of this signal.Thanks,

Gluck

Shailen

To: m...From: a...@yahoo.comDate: Thu, 29 Jan 2009 16:55:56 -0800Subject: [matlab] SIGNAL TO NOISE RATIO

Hi All,I have a set of noise data , x= [1 2 3 4 5 6 ].I want to add additive white Gaussian noise to it using g= x+ 0.5* rand(1,6)How do i calculate the signal to noise ratio of this signal if the variance of the rand is 0.5. I know the relationship between SNR and variance, mathematicallly and can implement that in MATLAB. Is there any function that can calculate that easily ?The second scenario is that i have a signal d= [ 5 6 7 8 9], no other information than the signal contains noise. How do i get the SNR of this signal.Thanks,